Band structure computation of two-dimensional and three-dimensional phononic crystals using a finite element-least square point interpolation method
type: Item
instance of: scholarly article
title: Band structure computation of two-dimensional and three-dimensional phononic crystals using a finite element-least square point interpolation method
zbMATH Open document ID: 1481.74705
author: Lingyun Yao
author: Guoqi Jiang
author: Fei Wu
author: Jinyu Luo
published in: Applied Mathematical Modelling
publication date: 2020-04-07T00:00:00Z
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 7187301
zbMATH Keywords: band gap
zbMATH Keywords: Bloch's theory
zbMATH Keywords: finite element-least square point interpolation method
zbMATH Keywords: finite element method
zbMATH Keywords: phononic crystal
describes a project that uses: XFEM
MaRDI profile type: Publication
full work available at URL: j.apm.2019.05.052
OpenAlex ID: W2948724976
cites work: Discrete time transfer matrix method for multibody system dynamics
cites work: Convergence problem of plane-wave expansion method for phononic crystals
cites work: A plane-wave expansion method based on the effective medium theory for calculating the band structure of a two-dimensional photonic crystal
cites work: An efficient finite element method for computing spectra of photonic and acoustic band-gap materials. I: Scalar case
cites work: Error analysis of mixed finite element methods for wave propagation in double negative metamaterials
cites work: Bandgap calculation for mixed in-plane waves in 2D phononic crystals based on Dirichlet-to-Neumann map
cites work: Boundary element method for band gap calculations of two-dimensional solid phononic crystals
cites work: Bandgap calculations of two-dimensional solid-fluid phononic crystals with the boundary element method
cites work: Band structure computation of in-plane elastic waves in 2D phononic crystals by a meshfree local RBF collocation method
cites work: A meshfree local RBF collocation method for anti-plane transverse elastic wave propagation analysis in 2D phononic crystals
cites work: A local radial basis function collocation method for band structure computation of phononic crystals with scatterers of arbitrary geometry
cites work: An adaptive selective ES-FEM for plastic collapse analysis
cites work: Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth
cites work: A phantom-node method with edge-based strain smoothing for linear elastic fracture mechanics
cites work: Stable particle methods based on Lagrangian kernels
cites work: Meshfree point collocation method for elasticity and crack problems
cites work: A ``FE-meshfree'' QUAD4 element based on partition of unity
cites work: `FE-meshfree' QUAD4 element for free-vibration analysis
cites work: Numerical study of exterior acoustic problems using a novel finite element-least square point interpolation method with perfectly matched layer
cites work: Modified integration rules for reducing dispersion error in finite element methods.
Wikidata QID: Q127752371
DOI: 10.1016/J.APM.2019.05.052
description: scientific article; zbMATH DE number 7187301